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Finding the Fourth Proportional to 229,752.98, 317,073.65 and 129,157.46

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Solution

The fourth proportional to 229,752.98, 317,073.65 and 129,157.46 is: 178,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,752.98 : 317,073.65 = 129,157.46 : x
  2. Step 2: Convert to fraction form
    229,752.98/317,073.65 = 129,157.46/x
  3. Step 3: Cross multiply
    229,752.98x = 317,073.65 × 129,157.46
  4. Step 4: Simplify right side
    229,752.98x = 40,952,427,266.93
  5. Step 5: Solve for x
    x = 40,952,427,266.93/229,752.98
  6. Step 6: Final answer
    x = 178,245.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.